What is the Greatest Common Factor of 54945 and 54950?

Greatest common factor (GCF) of 54945 and 54950 is 5.

GCF(54945,54950) = 5

We will now calculate the prime factors of 54945 and 54950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54945 and 54950.

How to find the GCF of 54945 and 54950?

We will first find the prime factorization of 54945 and 54950. After we will calculate the factors of 54945 and 54950 and find the biggest common factor number .

Step-1: Prime Factorization of 54945

Prime factors of 54945 are 3, 5, 11, 37. Prime factorization of 54945 in exponential form is:

54945 = 3³ × 5¹ × 11¹ × 37¹

Step-2: Prime Factorization of 54950

Prime factors of 54950 are 2, 5, 7, 157. Prime factorization of 54950 in exponential form is:

54950 = 2¹ × 5² × 7¹ × 157¹

Step-3: Factors of 54945

List of positive integer factors of 54945 that divides 54945 without a remainder.

1, 3, 5, 9, 11, 15, 27, 33, 37, 45, 55, 99, 111, 135, 165, 185, 297, 333, 407, 495, 555, 999, 1221, 1485, 1665, 2035, 3663, 4995, 6105, 10989, 18315

Step-4: Factors of 54950

List of positive integer factors of 54950 that divides 54945 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 157, 175, 314, 350, 785, 1099, 1570, 2198, 3925, 5495, 7850, 10990, 27475

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54945 and 54950. The biggest common factor number is the GCF number.
So the greatest common factor 54945 and 54950 is 5.

Also check out the Least Common Multiple of 54945 and 54950